If roots of x² - 8x + 15 = 0 are increase by 2, new equation is?
- x² - 12x + 35 = 0
- x² - 14x + 35 = 0
- x² - 16x + 35 = 0
- None of these
Explanation
Original equation: x^2 - 8x + 15 = 0
Factor it:
x^2 - 8x + 15 = (x - 3)(x - 5) = 0
So roots are 3 and 5.
Increase each root by 2:
New roots = 3 + 2 = 5, 5 + 2 = 7
Form new equation with roots 5 and 7:
(x - 5)(x - 7) = 0
x^2 - 7x - 5x + 35 = 0
x^2 - 12x + 35 = 0
Last verified on 23-05-2026
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